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The Skyrme model is a classical field theory modelling the strong interaction between atomic nuclei. It has to be quantized in order to compare it to nuclear physics. When the Skyrme model is semi-classically quantized it is important to…

High Energy Physics - Theory · Physics 2009-11-11 Steffen Krusch

We revisit baryons in the Skyrme model. Starting from static baryons in the helicity eigenstates, we generalize their wavefunctions to the non-static and relativistic regime. A new representation for gamma matrices in the soliton collective…

High Energy Physics - Theory · Physics 2012-11-27 Henrique Boschi-Filho , Nelson R. F. Braga , Matthias Ihl , Marcus A. C. Torres

The Skyrme model is a non-linear field theory whose solitonic solutions, once quantised, describe atomic nuclei. The classical static soliton solutions, so-called Skyrmions, have interesting discrete symmetries and can only be calculated…

High Energy Physics - Theory · Physics 2015-06-12 David Foster , Steffen Krusch

We obtain exact upper and lower bounds on the steady state drift velocity, and kinetic energy of electrons, driven by an external field in a weakly ionized plasma (swarm approximation). The scattering is assumed to be elastic with…

Plasma Physics · Physics 2009-10-31 A. Rokhlenko , J. L. Lebowitz

The Statistical Multifragmentation Model is modified to incorporate the Helmholtz free energies calculated in the finite temperature Thomas-Fermi approximation using Skyrme effective interactions. In this formulation, the density of the…

Nuclear Theory · Physics 2009-12-31 S. R. Souza , B. V. Carlson , R. Donangelo , W. G. Lynch , A. W. Steiner , M. B. Tsang

We consider the rigid body quantization of Skyrmions with topological charges 1 to 8, as approximated by the rational map ansatz. Novel, general expressions for the elements of the inertia tensors, in terms of the approximating rational…

High Energy Physics - Theory · Physics 2008-11-26 Olga V. Manko , Nicholas S. Manton , Stephen W. Wood

The Skyrme energy-density functional approach has been extended to study the massive heavy-ion fusion reactions. Based on the potential barrier obtained and the parameterized barrier distribution the fusion (capture) excitation functions of…

Nuclear Theory · Physics 2009-11-11 Ning Wang , Xizhen Wu , Zhuxia Li , Min Liu , Werner Scheid

We present a generalization of Extended Lagrangian Born-Oppenheimer molecular dynamics [Phys. Rev. Lett. vol. 100, 123004 (2008); Eur. Phys. J. B vol. 94, 164 (2021)] that also includes the electronic spin-degrees of freedom as extended…

In an effort to understand skyrmion behavior on a coarse-grained level, skyrmions are often described as 2D quasi particles evolving according to the Thiele equation. Interaction potentials are the key missing parameters for predictive…

Over the past decade, machine learning has been successfully applied in various fields of science. In this study, we employ a deep learning method to analyze a Skyrme energy density functional (Skyrme-EDF), that is a Kohn-Sham type…

Nuclear Theory · Physics 2023-06-28 N. Hizawa , K. Hagino , K. Yoshida

We propose an efficient approach to describe the fission-fragment charge yields for actinides based on the driving potential of fissioning system. Considering the properties of primary fission fragments at their ground states, the driving…

Nuclear Theory · Physics 2022-09-07 Yuan Su , Min Liu , Ning Wang

We obtain an effective theory for the radion dynamics of the two-brane Randall Sundrum model, correct to all orders in brane velocity in the limit of close separation, which is of interest for studying brane collisions and early Universe…

High Energy Physics - Theory · Physics 2009-11-11 Claudia de Rham , Samuel Webster

We show that skyrmions on the surface of a magnetic topological insulator may experience an attractive interaction that leads to the formation of a skyrmion-skyrmion bound state. This is in contrast to the case of skyrmions in a…

Mesoscale and Nanoscale Physics · Physics 2019-09-13 Kunal L. Tiwari , J. Lavoie , T. Pereg-Barnea , W. A. Coish

We derive the nucleon-nucleon interaction from the Skyrme model using the instanton and product approximations to skyrmion dynamics. In doing so, we also calculate the classical potential and metric for skyrmion dynamics in each of the…

High Energy Physics - Theory · Physics 2022-11-23 Chris Halcrow , Derek Harland

A Skyrme type energy functional for maps $\varphi$ from an oriented Riemannian 3-manifold $M$ to a contact 3-manifold $N$ is defined, generalizing the BPS Skyrme energy of Ferreira and Zakrzewski. This energy has a topological lower bound,…

Differential Geometry · Mathematics 2024-11-15 Radu Slobodeanu , Martin Speight

The energy of Skyrmions is calculated with the help of a technique based on the excitonic representation: the basic set of one-exciton states is used for the perturbation-theory formalism instead of the basic set of one-particle states. We…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. Dickmann

We derive the low energy effective theory on a brane in six-dimensional chiral supergravity. The conical 3-brane singularities are resolved by introducing cylindrical codimension one 4-branes whose interiors are capped by a regular…

High Energy Physics - Theory · Physics 2009-05-20 Frederico Arroja , Tsutomu Kobayashi , Kazuya Koyama , Tetsuya Shiromizu

We construct a spherical domain wall which has baryon charge distributed on a sphere of finite radius in a Skyrme model with a sixth order derivative term and a modified mass term. Its distribution of energy density likewise takes the form…

High Energy Physics - Theory · Physics 2014-04-01 Sven Bjarke Gudnason , Muneto Nitta

In this thesis, we consider several Random Energy Models. This includes Derrida's Random Energy Model (REM) and Generalized Random Energy Model (GREM) and a nonhierarchical version (BK-GREM) by Bolthausen and Kistler. The limiting free…

Probability · Mathematics 2007-11-09 Nabin Kumar Jana

The chiral symmetry-breaking term of the Skyrme model with massive pion is modified to obtain the hedgehog profile function which is in best coincidence with the kink-like profile function. For the modified Lagrangian, the minimum of the…

Quantum Physics · Physics 2007-05-23 Nguyen Vien Tho , Phu Chi Hoa